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Scatter Plots Part 4

Added Apr 06, 2020 •

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how long are going to do the same thing we did with the other problem this one is about three hours spent outside in person require the temperature and how much water they dry I looked at one like that some kind of had an idea of that what this is going to tail so we're going to create a scatter plot based off of this data and answer the same questions we are comparing the water consumption which is this one normally we sent the second column is why but they told us it is actually this is our backs which is why I know that's backwards but if they tell you different that's what you go with it we're doing it ourselves. Our own grass it's however you set it up again in the grass so it goes from 07 7275 that means I just want to zoom in on a little section of the graph they chose their increments looks like their highest 1099 and their lowest doesn't 75 so they wanted to get a little bit about in a little bit slow by Ingram good idea to start a little bit lower to get a better picture in the water consumption the lowest number is 66 the highest one is 40 strange there you could have done by 5 to go by force that's fine I would not have done anything bigger than 5 so all right you're not doing as to why you're doing X2 why this why cuz it's different than what we like to normally think stop right there 48 again and 97 just a little bit below that kind of low-cost reforming there 16 95 32 1092 years are there 485 and the last one is 20 and what do you think this is a positive correlation or negative correlation definitely is looking like a positive correlation these look like they could be making a line scientist Direction I'd say it's definitely a strong correlation is a pretty close to a wine so I'm going to say that this is a strong hospice correlation where to draw a trend line so I'm going to circle my data okay Circle your data Vine this is your line of best fit or also what we call a trend line and it can help us make the predictions ever when we doing a lot of us that we're trying to get about half of half below you may want to use a ruler to get you a little bit better line and start getting eloped it looks like it probably should have gone to this point insert curving up and again it's fine if it doesn't go through point because you could use to see where it has the corners at Greers Mark right there and could use that as well here even though they're not original Battle Points it's whatever your line hits is what you can use make a prediction let's protect the temperature the water when attempt is 90° probably the quickest way what is the water consumption when the temperature is 96 go with your given information I was given 90 over until you hit the line Chenango town to make your prediction and it looks like it would be that about 34 ounces of water is the temperature the line of best fit for the do that we need two points off of this line that I I could use this one since it's one of my data points so I'm going to cuz my line definitely hit that point and it looks like that one was the 2785 make sure you write the sum as X, Y in this case this is One backwards and they did really get any of the other blue dots that got close I need to pick one either the 28th or this 48100 either one is fine again they didn't want one of the ones from the table and that's okay with the smaller one so I'm going to use the 20 and the baby is here all right now I have to find the slope first 1985 -80 Y 2 - y 1 over X2 - X1 can I get spot over so you can leave it like that or this time it will be okay wanted to round it this will give you a more accurate answer and again you can use a calculator you want to be super accurate go out to two decimal point I'll be a little bit more accurate find the y intercept I'm going to use the first point so why it was 80 is equal to the slope X y equals MX don't forget the plus key so you know what you're selling for at what point one side in x 20 years 14.2 equals 14.203 using inverse operations 65.8 equation the line of best fit for trendline however you want to say it is the slope value for y equals 2.1 what's the y intercept and now I can use that to make my prediction my question I was predicting originally was when the water what is the water when the temperature is 90 temperature was Ry that means minutes like in 94 y instead of X this time you put it in for whatever variable you are getting and then we solve for x using are in Versailles directions we learned in seventh grade 24.2 + 2.1 7X and I got asked is equal to 34 ounces section using the line of best fit width 34 Oz my prediction using the graph was 33 or you might have gotten 34 so we are pretty dead-on member 8 even be a couple of way in as long as you're within like a range of two or three on either side you're okay so to recap got your points determine if it's a positive or A negative correlation if you're asked to draw the line of best fit Circle. First and then draw a line through the middle of it as like your average line to all the points I remember you looking for that half the data above half the data below and maybe some of it falling on the line all of that is okay you can use that line now to make predictions as to what could happen based on the data you collected so we made a prediction one way using the graph hair salon in town we made a prediction II Way by finding the equation of the line of best fit and then plugging in the 90 for the temperature to find how many hours that would be as we saw they were almost identical

Uploaded by Nicole Beverly.

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